Leptogenesis via multiscalar coherent evolution with supersymmetric neutrino see-saw

Abstract

A novel scenario of leptogenesis is investigated in the supersymmetric neutrino see-saw model. The right-handed sneutrino $\tilde{N}$ and the $\ddot{I}•$ field in the $\tilde{L}{H}_u$ direction of the slepton and Higgs doublets start together coherent evolution after the inflation with right-handed neutrino mass $M_N$ smaller than the Hubble parameter of inflation. Then, after some period the motion of $\tilde{N}$ and $\ddot{I}•$ is drastically changed by the cross coupling $M_N{h}_{\hat{I}}½{\tilde{N}}^{\ast }\ddot{I}•\ddot{I}•$ from the $M_{N}NN$ and $h_{\hat{I}}½NL{H}_u$ terms, and the significant asymmetries of $\tilde{N}$ and $\tilde{L}$ are generated. The $\tilde{L}$ asymmetry is fixed later by the thermal effect as the lepton number asymmetry for baryogenesis, while the $\tilde{N}$ asymmetry disappears through the decays $\tilde{N}\to \bar{L}{\overline{\stackrel{~}{H}}}_u,\tilde{L}{H}_u$ with almost the same rate but opposite final lepton numbers.

4pages, 1 figure; submitted to Physical Review D. The renormalization group effects were included